CTM: Matlab Basics Tutorial

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CTM: Matlab Basics Tutorialhttp://www.engin.umich.edu/group/ctm/basic/basic.html6 of 9 05/11/2008 11:45E = [1 2;3 4]F = [2 3;4 5]G = E .* FE =F =1 23 42 34 5G =2 612 20If you have a square matrix, like E, you can also multiply it by itself as many times as you like by raising it toa given power.E^3ans =37 5481 118If wanted to cube each element in the matrix, just use the element-by-element cubing.E.^3ans =1 827 64You can also find the inverse of a matrix:X = inv(E)or its eigenvalues:X =-2.0000 1.00001.5000 -0.5000eig(E)ans =-0.37235.3723There is even a function to find the coefficients of the characteristic polynomial of a matrix. The "poly"function creates a vector that includes the coefficients of the characteristic polynomial.p = poly(E)p =1.0000 -5.0000 -2.0000
CTM: Matlab Basics Tutorialhttp://www.engin.umich.edu/group/ctm/basic/basic.html7 of 9 05/11/2008 11:45Remember that the eigenvalues of a matrix are the same as the roots of its characteristic polynomial:roots(p)Printingans =5.3723-0.3723Printing in Matlab is pretty easy. Just follow the steps illustrated below:MacintoshWindowsUnixTo print a plot or a m-file from a Macintosh, just click on the plot or m-file, select Print under the Filemenu, and hit return.To print a plot or a m-file from a computer running Windows, just selct Print from the File menu in thewindow of the plot or m-file, and hit return.To print a plot on a Unix workstation enter the command:print -PIf you want to save the plot and print it later, enter the command:print plot.psSometime later, you could print the plot using the command "lpr -P plot.ps" If you are using a HPworkstation to print, you would instead use the command "lpr -d plot.ps"To print a m-file, just print it the way you would any other file, using the command "lpr -P .m" If you are using a HP workstation to print, you would instead use the command "lpr -dplot.ps.m"Using M-files in MatlabThere are slightly different things you need to know for each platform.MacintoshWindowsThere is a built-in editor for m-files; choose "New M-file" from the File menu. You can also use anyother editor you like (but be sure to save the files in text format and load them when you start Matlab).Running Matlab from Windows is very similar to running it on a Macintosh. However, you need to
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CTM: Matlab Basics Tutorial

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